blem #7: Consider the following autonomous first order differential equation. y' = - (1+ 1)2 (y - 4)y (a) Classify the equilibrium points as stable, unstable, or semi-stable. (b) Let y(x) be a solution satisfying (0) - 2. What is lim y(x)? X-+00 (A) -1 (semi-stable), 0 (semi-stable), 4 (stable) (B) -1 (semi-stable), 0 (stable), 4 (unstable) (C) -1 (stable), 0 (semi-stable), 4 (unshible) (D) -1 (unstable), 0 (unstable), 4 (stable) (E) -1 (stable), 0 (unstable). 4 (semi-stable) (F) -1 (semi-stable), 0 (unstable), 4 (semi-stable) (G) -1 (unstable), 0 (stable). 4 (semi-stable) (H) -1 (unstable), 0 (semi-stable), 4 (stable) (1) -1 (semi-stable), 0 (unstable). 4 (stable) Problem #7(a): G